Get x 1 x 2 then x2 1 x2. X 12 0500 x -12 -0500 Rearrange. We see that both sides have a 2 x 2 term so lets subtract 2 x 2 from each side. Divide x 1 x 1 2 x x 2 3 by x 2 1 x 3 2 x 2 by multiplying x 1 x 1 2 x x 2 3 by the reciprocal of x 2 1 x 3 2 x 2. Read also then and x 1 x 2 then x2 1 x2 Two numbers r and s sum up to -2 exactly when the average of the two numbers is frac12-2 -1.
Well add 5 to both sides of the equation then divide by 9. 1x21x-24x2-4 Two solutions were found.
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This step makes the left hand side of the equation a perfect square. In the last step we also distributed the 2 inside the parentheses on the right side. Then add the square of -frac12 to both sides of the equation. Cancel out x in both numerator and denominator. Two numbers r and s sum up to frac12 exactly when the average of the two numbers is frac12frac12 frac14. Cancel out x in both numerator and denominator.
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